Theorems · Theorem · number theory
Nat.Prime.ne_zero
∀ {n : ℕ}, Nat.Prime n → n ≠ 0- Defined in
- Mathlib.Data.Nat.Prime.Defs
- Cited by
- 109 results in Mathlib
- Foundations
- Depth 22 from the axioms, rests on 181 definitions · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.Primestatement and proof · cited by 2,059
- Irreducible.ne_zeroproof · cited by 45
Cited by109
Results whose statement or proof uses this declaration.
- Nat.Prime.posproof · cited by 83
- Nat.prime_iffproof · cited by 20
- Nat.ordProj_dvdproof · cited by 17
- map_wittStructureIntproof · cited by 13
- padicValNat_selfproof · cited by 11
- Padic.norm_pproof · cited by 5
- Nat.totient_prime_pow_succproof · cited by 4
- Nat.Prime.properDivisorsproof · cited by 4
- Irreducible.hasSeparableContractionproof · cited by 4
- IsCyclotomicExtension.Rat.ramificationIdx_span_zeta_sub_oneproof · cited by 4
- expChar_ne_zeroproof · cited by 4
- Nat.prod_pow_factorization_eq_selfproof · cited by 4